No, it won't. At least not fully, and not directly.
A dead spot is always caused by a resonance in the body resp. neck, which is strong enough to take too much of energy from the string. A Wolftone is just the opposite of a dead spot, i.e. caused by a structural detail which is extremely stiff (dynamically, not due to static load). Making things worse - the Q of these resonances of course will also affect the attack of those notes.
Back to the "directly". Of course the pickup positions cause structurally weak spots, especially in an SG, and the deep cutaways, too. Also a different neck profile (stiffnes) and even different headstock sizes and tuners (=dynamic masses) as well.
A neck pickup immediately at the end of the fingerboard of the SG would lead to an even larger weakness of the neck body joint and make it even more prone to dead spots and wolftones.
And indeed, of course, the noticeability of these resonances are affected by the pickups and their positions. But in general the effects of the PU positions on sound are independent of those of the body and neck resonances.